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Convert speed to velocity instantly with our free Speed to Velocity Calculator. Add direction and get accurate velocity results with step-by-step formulas.
Our Speed to Velocity Calculator helps you convert speed into velocity in seconds. Simply enter the speed value, choose the unit, and select the direction. The calculator instantly gives you the complete velocity and its horizontal and vertical components.
This tool is useful for students, teachers, engineers, and anyone studying physics. It supports units such as m/s, km/h, mph, ft/s, and knots.
Speed and velocity are closely related. Speed tells you how fast an object moves. Velocity tells you how fast it moves and in which direction.
For example, if a car moves at 80 km/h, that is speed. If the same car moves at 80 km/h north, that is velocity.
Speed is a scalar quantity. It has only magnitude.
Velocity is a vector quantity. It has both magnitude and direction.
In simple words:
Speed = How fast an object moves
Velocity = How fast an object moves + Direction
This means that converting speed to velocity requires adding a direction such as north, south, east, west, or an angle.
The basic speed to velocity formula is:
Velocity = Speed + Direction
If you need the x and y components of velocity, the formulas are:
For compass bearings:
Vx = Speed × sin(θ)
Vy = Speed × cos(θ)
For mathematical angles:
Vx = Speed × cos(θ)
Vy = Speed × sin(θ)
Where:
Vx = Horizontal velocity component
Vy = Vertical velocity component
θ = Direction angle
To convert speed into velocity, follow these simple steps.
First, identify the speed value.
Second, choose the correct speed unit such as m/s, km/h, or mph.
Third, determine the direction of motion.
Fourth, combine the speed and direction.
For example:
60 km/h + North = 60 km/h North
That is the final velocity.
Using our calculator is very easy.
View the complete velocity result and the x and y components.
Suppose a boat moves at 72 km/h toward the northeast.
First, the speed is 72 km/h.
Second, the direction is northeast.
Therefore:
Velocity = 72 km/h NE
If you calculate the components:
Vx = 72 × sin(45°)
Vx = 50.91 km/h
Vy = 72 × cos(45°)
Vy = 50.91 km/h
Final answer:
Velocity = 72 km/h NE
East component = 50.91 km/h
North component = 50.91 km/h
Our tool performs all calculations automatically and gives accurate results.
This calculator is widely used in physics to solve motion problems.
It helps analyze displacement, acceleration, projectile motion, and vector decomposition.
Students can use it to better understand the difference between speed and velocity.
Our Speed to Velocity Calculator makes it easy to convert speed into velocity with complete accuracy.
Just enter the speed and direction, and the calculator does the rest.
Whether you are solving a physics problem or checking real-world motion data, this calculator provides fast and reliable results.
If you need a simple calculator for velocity, this tool is the perfect solution.
The formula is:
Velocity = Speed + Direction
Yes. The magnitude of velocity is always equal to speed. Velocity simply includes direction.
Add the direction of motion to the speed value.
You can use m/s, km/h, mph, ft/s, knots, cm/s, and mm/s.
You cannot determine complete velocity without direction.
Yes. The calculator uses standard physics formulas and precise unit conversions.